Controllability of Non-densely Defined Neutral Functional Differential Systems in Abstract Space*

Xianlong Fu1, Xingbo Liu1
1Department of Mathematics, East China Normal University, Shanghai, China

Tóm tắt

Từ khóa


Tài liệu tham khảo

Chuckwu, E. N. and Lenhart, S. M., Controllability questions for nonlinear systems in abstract space, J. Optim. theory Appl., 68, 1991, 437–462

Naito, K., Controllability of semilinear control systems dominated by linear part, SIAM J. Control Optim., 25, 1987, 715–722

Naito, K. and Park, J. Y., Approximate controllability for trajectoics of a delay Voltera control system, J. Optim. theory Appl., 61, 1989, 271–279

Nakagri, S. and Yamamoto, R., Contollability and observability of linear retarded systems in Banach space, Internat. J. control, 49, 1989, 1489–1504

Triggiani, R., Controllability and observability in Banach space with bounded operators, SIAM J. Control Optim., 13, 1975, 462–491

Lasiecka, L. and Triggiani, R., Exact controllability of semilinear abstract systems with application to waves and plates boundary control problems, Appl. Math. Optim., 23, 1991, 109–154

Quinn, M. D. and Carmichael, N., An approach to nonlinear control problems using fixed point methods, degree theory and pseudo-inverses, Numer. Funct. Anal. Optim., 7, 1984/1985, 197–219

Kwun, Y. C., Park, J. Y. and Ryu, J. W., Approximate controllability and controllability for delay Voltera systems, Bull. Korean Math. Soc., 28, 1991, 131–145

Balachandran, K. and Sakthivel, R., Controllability of Sobolev-Type Semilinear Integrodifferential Systems in Banach Spaces, Appl. Math. Letters, 12, 1999, 63–71

Balachandran, K., Balasubramaniam, P. and Dauer, J. P., Local null controllability of nonlinear functional differential systems in Banach space, J. Optim. Theory Appl., 88, 1996, 61–75

Fu, X., Controllability of neutral functional differential systems in abstract space. Appl. Math. Comp., 141, 2003, 281–296

Da Prato, G. and Sinestrari, E., Differential operators with non-dense domain, Ann. Scuola Norm. Sup. Pisa Sci., 14, 1987, 285–344

Gatsori, E. P., Controllability results for nondensely defined evolution differential equations with nonlocal conditions, J. Math. Anal. Appl., 297, 2004, 194–211

Kellermann, H. and Hieber, M., Integrated semigroup, J. Funct. Anal., 84, 1989, 160–180

Thiems, H., Integrated semigroup and integral solutions to abstract Cauchy problems, J. Math. Anal. Appl., 152, 1990, 416–447

Pazy, A., Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer- Verlag, New York, 1983